This resource is from Underground Mathematics.
What gives a cubic curve its curves?
Can you form an equation for the cubic curve shown here?
If a curve has no stationary points, what does that tell you about its gradient function?
Does that help you to determine an equation for this graph?
This is an Underground Mathematics resource.
Underground Mathematics is funded by a grant from the UK Department for Education and provides free web-based resources that support the teaching and learning of post-16 mathematics. It started in 2012 as the Cambridge Mathematics Education Project (CMEP).
Visit the site at undergroundmathematics.org to find more resources, which also offer suggestions, solutions and teacher notes to help with their use in the classroom.